Candice wants to buy a $2500 scooter with a loan from her local bank. which loan option would be best for candice if she wants the lowest interest rate and wants to pay off the scooter within 5 years. loan option 1 will take less than 4 years to pay off and have an annual interest rate of 15%, and total interest of about $700. loan option 2 will take 3 years to pay off, at which point she will have paid $1,050 in interest. loan option 3 will take 7 years to pay off, and the total paid for the scooter will be $3200. loan option 4 will take 5 years to pay off, and the total paid for the scooter will be $3500.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be